Global stability of discrete-time competitive population models

DOI10.1080/10236198.2017.1333116zbMath1379.92046OpenAlexW2618158258MaRDI QIDQ4596594

Zhanyuan Hou, Stephen A. Baigent

Publication date: 1 December 2017

Published in: Journal of Difference Equations and Applications (Search for Journal in Brave)

Full work available at URL: http://repository.londonmet.ac.uk/1227/1/Stability%20for%20discrete%20competitive%20models.pdf

zbMATH Keywords

global stabilityLeslie-GowerRickercompetitive Kolmogorov mapsprincipal reproductive mode

Mathematics Subject Classification ID

Population dynamics (general) (92D25) Stability theory for difference equations (39A30)

Related Items (11)

Simple dynamics in non-monotone Kolmogorov systems ⋮ Global attraction and repulsion of a heteroclinic limit cycle in three dimensional Kolmogorov maps ⋮ A global picture for the planar Ricker map: convergence to fixed points and identification of the stable/unstable manifolds ⋮ Global stability in the 2D Ricker equation revisited ⋮ Linearization and invariant manifolds on the carrying simplex for competitive maps ⋮ TheC¹property of convex carrying simplices for three-dimensional competitive maps ⋮ Stability of discrete-time coupled oscillators via quotient dynamics ⋮ Permanence and universal classification of discrete-time competitive systems via the carrying simplex ⋮ Global dynamics of a special class of nonlinear semelparous Leslie matrix models ⋮ On existence and uniqueness of a modified carrying simplex for discrete Kolmogorov systems ⋮ Geometric method for global stability of discrete population models

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